(x+4)(x+4) Answer Brainly

Jasonbradley

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Jun 16, 2024

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Expanding (x+4)(x+4)

The expression (x+4)(x+4) is a product of two binomials, and expanding it involves using the FOIL method.

FOIL stands for:

• First: Multiply the first terms of each binomial.
• Outer: Multiply the outer terms of the binomials.
• Inner: Multiply the inner terms of the binomials.
• Last: Multiply the last terms of each binomial.

Let's apply this to our expression:

First: x * x = x²

Outer: x * 4 = 4x

Inner: 4 * x = 4x

Last: 4 * 4 = 16

Now, add all the terms together:

x² + 4x + 4x + 16

Combine like terms:

x² + 8x + 16

Therefore, the expanded form of (x+4)(x+4) is x² + 8x + 16.

Note: Since (x+4)(x+4) is the same binomial multiplied by itself, it can also be written as (x+4)².